From 127c4ae87ba6702f7531bf2d3b417ae9b3059720 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Fri, 23 Aug 2019 17:51:25 -0400 Subject: started doing experimentalist comformitng --- main.tex | 2 ++ 1 file changed, 2 insertions(+) (limited to 'main.tex') diff --git a/main.tex b/main.tex index 3c299ea..80b1c3c 100644 --- a/main.tex +++ b/main.tex @@ -270,6 +270,8 @@ diagrams for this model are shown in Figure \ref{fig:phases}. \label{fig:phases} \end{figure} +We will now proceed to derive the effective strain stiffness tensor $\lambda$ that results from the coupling of strain to the \op. The ultimate result, in \eqref{eq:elastic.susceptibility}, is that $\lambda_\X$ only differs from its bare value for the symmetry $\X$ of the order parameter. To show this, we will first compute the susceptibility of the \op, which will both be demonstrative of how the stiffness is calculated and prove useful in expressing the functional form of the stiffness. Then, we will compute the strain stiffness using some tricks from functional calculus. + The susceptibility of the order parameter to a field linearly coupled to it is given by \begin{equation} \begin{aligned} -- cgit v1.2.3-70-g09d2